New SAT Math Multiple Choice Practice Test 39

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Question 15 questions

Time 22 minutes

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1. If 2b - 1 = 5, what is the value of 2b2 - 1?

  • A. 15
  • B. 17
  • C. 24
  • D. 25

2. Images

In the figure above, points P, Q, R, S, and T lie on the same line, and R is the center of the large circle. If the three smaller circles are congruent and the radius of the large circle is 6, what is the radius of one of the smaller circles?

  • A. 1
  • B. 2
  • C. 3
  • D. 4

3. Jeri has edited Images of her term paper. If she has edited 15 pages, how many pages does she have left to edit?

  • A. 45
  • B. 50
  • C. 60
  • D. 75

4. 7, 12, 22, 42, 82

Which of the following gives a rule for finding each term in the sequence after the first?

  • A. Add 5 to the preceding number.
  • B. Add 5 to the sum of all of the preceding terms.
  • C. Double the preceding term and then subtract 2 from the result.
  • D. Add 14 to the preceding term and divide that result by 2.

5. Images

The figure above shows a rectangular box. What is the longest length of a diagonal of one of the faces of this box?

  • A. Images
  • B. Images
  • C. Images
  • D. Images

6. Which of the following points is NOT on the graph of the line -2x - 3y = 36 in the xy-plane?

  • A. (-9, 6)
  • B. (-24, 4)
  • C. (6, -16)
  • D. (12, -20)

7. During a coyote repopulation study, researchers determine that the equation P = 250(1.32)t describes the population P of coyotes t years after their introduction into a new region. Which of the following gives the values of I, the initial population of coyotes, and r, the annual percent increase in this population?

  • A. I = 250, r = 32%
  • B. I = 250, r = 132%
  • C. I = 330, r = 32%
  • D. I = 330, r = 132%

8. Which of the following is equal to Images

  • A. Images
  • B. Images
  • C. Images
  • D. Images

9. Which of the following could be the x-intercept and y-intercept of a line that is perpendicular to the line 3x + 6y = 0?

  • A. (-6, 0) and (0, 3)
  • B. (3, 0) and (0, -6)
  • C. (3, 0) and (0, 6)
  • D. (6, 0) and (0, 3)

10. The function f is defined by the equation f(x) = x - x2. Which of the following represents a quadratic with no real zeros?

  • A. Images
  • B. Images
  • C. Images
  • D. Images

11. In the xy-plane, the graph of the line Images intersects the graph of the equation y = x2 + x at two points. What is the distance between these two points?

  • A. Images
  • B. Images
  • C. Images
  • D. 4

12. If i2k = 1, and Images, which of the following must be true about k?

  • A. k is a multiple of 4.
  • B. k is a positive integer.
  • C. When 2k is divided by 4, the remainder is 1.
  • D. Images is an integer.

13. For all numbers x and y, let z be defined by the equation z = |22 - x2 - y2| + 22. What is the smallest possible value of z?

  • A. 0
  • B. 4
  • C. 8
  • D. 16

14. If the polynomial P(x) has factors of 12, (x - 5), and (x + 4), which of the following must also be a factor of P(x)?

  • A. 2x2 + 8
  • B. 4x2 - 20
  • C. 6x2 - 6x - 120
  • D. x2 - 10x + 25

15. If f(x) = -x + 7 and g(f(x)) = 2x + 1, what is the value of g(2)?

  • A. -11
  • B. -5
  • C. 5
  • D. 11